%0 Journal Article
%T Non-self-adjoint graphs
%A Amru Hussein
%A David Krejcirik
%A Petr Siegl
%J Mathematics
%D 2013
%I arXiv
%X On finite metric graphs we consider Laplace operators, subject to various classes of non-self-adjoint boundary conditions imposed at graph vertices. We investigate spectral properties, existence of a Riesz basis of projectors and similarity transforms to self-adjoint Laplacians. Among other things, we describe a simple way how to relate the similarity transforms between Laplacians on certain graphs with elementary similarity transforms between matrices defining the boundary conditions.
%U http://arxiv.org/abs/1308.4264v1